Question

Ben and Jerry have ages that are consecutive even integers. The product of their ages is 728 which equation could be used to find Jerry's age [j]

Answers

Answered by GPT-4o mini
Let Ben's age be represented as \( j \) (Jerry's age), which is the younger age, and since their ages are consecutive even integers, Ben's age would be \( j + 2 \).

Given that the product of their ages is 728, we can write the equation:

\[
j \cdot (j + 2) = 728
\]

This equation can be simplified to:

\[
j^2 + 2j = 728
\]

To set it equal to zero, we can rearrange it as follows:

\[
j^2 + 2j - 728 = 0
\]

Thus, the equation that could be used to find Jerry's age \( j \) is:

\[
j^2 + 2j - 728 = 0
\]
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